Question

Which of the following numbers is divisible by 5, 6, and 9?

OA) 54,183
OB) 45,803
OC) 81,450
OD) 18,045

Answer 1

To find numbers divisible by 5, 6, and 9, we need to find the common multiples. The common multiples of 5, 6, and 9 are multiples of the LCM. Checking the options, only Option C and Option D are divisible by all three numbers.

Step-by-step explanation:

To find numbers that are divisible by 5, 6, and 9, we need to find the common multiples of all three numbers. The common multiples of 5, 6, and 9 are multiples of the least common multiple (LCM) of 5, 6, and 9. The LCM of 5, 6, and 9 is 90.

Let's check each option to see if it is divisible by 5, 6, and 9:

• Option A: 54,183 - Not divisible by 5, 6, and 9.
• Option B: 45,803 - Not divisible by 5, 6, and 9.
• Option C: 81,450 - Divisible by 5, 6, and 9.
• Option D: 18,045 - Divisible by 5, 6, and 9.

Therefore, the numbers 81,450 and 18,045 are divisible by 5, 6, and 9. The correct option is Option C and Option D.